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How much heat (in kJ) is produced when 100 mL of 0.250 M HCl (density, 1.00 g/mL) and 200 mL of 0.150 M NaOH (density, 1.00 g/mL) are mixed? LaTeX: \Delta H^0_{rxn}=-58\:kJ

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sebassandin

Answer:

[tex]Q=-1.45kJ[/tex]

Explanation:

Hello,

In this case, given the neutralization reaction between sodium hydroxide and hydrochloric acid:

[tex]HCl+NaOH\rightarrow NaCl+H_2O[/tex]

We can compute the heat that is produced due to the reaction by noticing that the hydrochloric acid is the limiting reactant, so the change in the enthalpy of reaction is referred to it. In such a way, we compute the reacting moles of acid:

[tex]n_{HCl}=0.1L*0.250\frac{mol}{L} =0.025mol[/tex]

Finally, we compute the heat by using the given enthalpy of reaction:

[tex]Q=0.025mol*\frac{-58kJ}{mol} \\\\Q=-1.45kJ[/tex]

Best regards.

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